Aunt Jean made 40 more macarons than wafers. After she gave 0.7 of the macarons and
25 of the wafers to Gillian, she was left with 45 more macarons than wafers. How many macarons did she make?
|
Macarons |
Wafers |
Comparing macarons and wafers at first |
|
40 more |
Before |
10 u |
5x2 + 40 = 10 u + 40 |
Change |
- 7 u |
- 2x2 - 16 = - 4 u - 16
|
After |
3 u |
3x2 + 24 = 6 u + 24 |
Comparing macarons and wafers in the end |
|
45 more |
0.7 =
710 25 x 40 = 16
Number of wafers that Aunt Jean gave to Gillian = 4 u + 16
If Aunt Jean made another 45 macarons in the end, the number of macarons and wafers in the end would be the same.
6 u + 24 = 3 u + 45
6 u - 3 u = 45 - 24
3 u = 21
1 u = 21 ÷ 3 = 7
Number of macarons that Aunt Jean made
= 10 u
= 10 x 7
= 70
Answer(s): 70